552499605504 has 1040 divisors, whose sum is σ = 2089420565760. Its totient is φ = 141893959680.

The previous prime is 552499605431. The next prime is 552499605521. The reversal of 552499605504 is 405506994255.

552499605504 is a `hidden beast` number, since 5 + 5 + 2 + 49 + 96 + 0 + 5 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6207860692 + ... + 6207860780.

Almost surely, 2^552499605504 is an apocalyptic number.

552499605504 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 552499605504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044710282880).

552499605504 is an abundant number, since it is smaller than the sum of its proper divisors (1536920960256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

552499605504 is an frugal number, since it uses more digits than its factorization.

552499605504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 552499605504 in words is "five hundred fifty-two billion, four hundred ninety-nine million, six hundred five thousand, five hundred four".